Race

When 2 or more people compete to reach a certain point, they are said to be participating in a race.

Start : If one person gives a start to another person, it means that the second person has to run less than the first person. For example, if A gives a start of 40 m to B in 100 m race, it means that A will run for 100 m but B will run for 100 – 40 = 60 m.

Sample Problems

Question 1 : In a 100 m race, A beats B by 28 metres. Also, at the finish line, A was 7 seconds ahead of B. Find the time taken by A to complete the race.Solution : According to the question, B covers 28 m in 7 seconds.
=> B’s speed = 28 / 7 = 4 m/s
=> Time required by B to complete 100 m = 100 / 4 = 25 s
Now, A needs 7 s less than B to complete the race.
=> Time required by A = 25 – 7 = 18 s

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